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web space web space Source code and .class files should be in a directory that's part of the $CLASSPATH environment variable. We'll demonstrate this by splitting the example of the previous sections into two separate files, each of which contains one class. Begin by creating a file that contains the Complex class. (Your complex file may be a little different depending on how you answered the exercises in the previous sections.

web space ) Save this file as Complex.java.Next save the examples from the previous exercises in a separate file called ComplexExamples.java in the same directory as Complex.java.

web space Now compile both files and run Complex Examples.java.The Mandelbrot Set The Mandelbrot set is a classic application of complex arithmetic. It is the example of a fractal set. Here and in the future we are going to try to separate the mathematical definition of our data from its display on the screen.

web space In fact we won't even add the screen display till the second iteration of the program.Our data structure will be a two dimensional array, each element of which represents a fixed point in the complex plane. The array is defined by the value of the lower left point, the gap between points and the number of pixels in the x and y directions. Thus given that element (0,0) of the array matches the complex point (x0,y0), each point is separated by a value gap, we know that element i,j of the array represents the point (x0 + i*gap, y0 + j*gap) in the complex plane. Since we know this by position of the array element alone we dont' need to store this value in the array.

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